{
  "abstract": "On broad classes of linear systems, the shortest experiments are almost as good as the best possible ones. For $n$ states and $m$ inputs, the shortest input sequences that support robust data-driven stabilization of every controllable plant have $mn+1$ steps with exact states and $m(n+1)$ with noisy states. We show that, when the spectral radius is bounded and the spectrum is well separated near the unit circle, these sequences tolerate a fixed fraction of the error level achievable by any experiment, even one designed with full plant knowledge and allowed to use any finite duration. This constant-factor comparison can fail for slowly actuated systems. For $A=I+hG$ with controllability depth $ν\\ge2$, short experiments lose a factor of order $h^{ν-1}$, and duration of order $1/h$ is both necessary and sufficient to recover a fixed fraction of the optimal tolerance.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.02187",
  "author_total": 2,
  "authors": [
    {
      "name": "Alexey Peregudin"
    },
    {
      "name": "Ngoc Tuan Dinh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/77yjjg3j5xbqs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.02187",
  "fulltext_url": null,
  "id": "77yjjg3j5xbqs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.02187",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.SY"
    ],
    [
      "arxiv",
      "eess.SY"
    ],
    [
      "arxiv",
      "math.OC"
    ],
    [
      "openalex",
      "2207|Control Systems and Identification"
    ]
  ],
  "openalex": "W7216563935",
  "pdf_url": "https://arxiv.org/pdf/2610.02187",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/77yjjg3j5xbqs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.02187",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.02187"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Minimal Experiments for Robust Stabilization: Information, Spectral Geometry, and Duration",
  "title_text": "Minimal Experiments for Robust Stabilization: Information, Spectral Geometry, and Duration",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/77yjjg3j5xbqs",
  "venue": "arXiv",
  "versions": []
}